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Vietnam Journal of Mathematics 37:2&3 (2009) 141-178 

On Nonlinear Boundary Value Problems for Nonlinear Wave Equations

Nguyen Thanh Long and Le Thi Phuong Ngoc

Abstract.  The paper is devoted to the study of existence, stability, regularity in time variable, asymptotic behavior and asymptotic expansion of solutions of nonlinear boundary value problems for nonlinear wave equations.

2000 Mathematics Subject Classification: 35C20, 35L05, 35L15, 35L20, 35L70, 35Q72, 37B25.

Keywords: Nonlinear boundary value problem, Nonlinear Kirchhoff - Carrier wave equation, Faedo - Galerkin approximation, Sobolev spaces with weight, quadratic convergence, high order iterative method, Asymptotic expansion of order N+1, Exponential decay of solution.

Vietnam Academy of Science and Technology & Vietnamese Mathematical Society
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